It will be hard to be yourselves in this friendship. Your values just won't match up, and that will extend to your deepest beliefs at a spiritual level. You'll try to talk about the things that are important to you, but you'll find that your ideals aren't even in the same ballpark.
If the friendship is important to you, you, especially, might start trying to cover up your beliefs. However, there's no reason why clashing values or spiritual beliefs have to mean the end of an otherwise perfectly good friendship. Sometimes, the tension and stress created by an aspect like this one is enough to kill the friendship, but you could also choose to learn from it, and from each other. This will take a conscious commitment on both your parts, of course, which will mean identifying the problem and agreeing to work on it. This could be harder than you expect. But you could come through it with a wider perspective of the world and of the spiritual possibilities open to you. However, as already stated, this will be hard work, so it may not be worth it.